Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
644 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 163 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #14528463 | C2 | semidirect |
| 5. #14528432 | C2 | semidirect |
| 6. #14528431 | C2 | semidirect |
| 7. #14528392 | C2 | semidirect |
| 227. C17 | #19732 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539939 | 2 |
| #14539935 | 2 |
| #14539529 | 2 |
| #14528463 | 2 |
| #14528432 | 2 |
| #14528431 | 2 |
| #14528392 | 2 |
| #14527081 | 2 |
| C17×#3139 | 2 |
| #19732 | 17 |